27268240 has 40 divisors (see below), whose sum is σ = 63676728. Its totient is φ = 10859520.

The previous prime is 27268237. The next prime is 27268243. The reversal of 27268240 is 4286272.

It is an interprime number because it is at equal distance from previous prime (27268237) and next prime (27268243).

It can be written as a sum of positive squares in 4 ways, for example, as 394384 + 26873856 = 628^2 + 5184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27268243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21874 + ... + 23086.

Almost surely, 2^27268240 is an apocalyptic number.

27268240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27268240 is an abundant number, since it is smaller than the sum of its proper divisors (36408488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27268240 is a wasteful number, since it uses less digits than its factorization.

27268240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 27268240 is about 5221.9000373427. The cubic root of 27268240 is about 300.9902095026.

The spelling of 27268240 in words is "twenty-seven million, two hundred sixty-eight thousand, two hundred forty".